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Extensions 1→N→G→Q→1 with N=C4xC12 and Q=C4

Direct product G=NxQ with N=C4xC12 and Q=C4
dρLabelID
C42xC12192C4^2xC12192,807

Semidirect products G=N:Q with N=C4xC12 and Q=C4
extensionφ:Q→Aut NdρLabelID
(C4xC12):1C4 = C42:3Dic3φ: C4/C1 → C4 ⊆ Aut C4xC12484(C4xC12):1C4192,90
(C4xC12):2C4 = C42:4Dic3φ: C4/C1 → C4 ⊆ Aut C4xC12484(C4xC12):2C4192,100
(C4xC12):3C4 = C42:5Dic3φ: C4/C1 → C4 ⊆ Aut C4xC12244(C4xC12):3C4192,104
(C4xC12):4C4 = C3xC4.9C42φ: C4/C1 → C4 ⊆ Aut C4xC12484(C4xC12):4C4192,143
(C4xC12):5C4 = C3xC42:C4φ: C4/C1 → C4 ⊆ Aut C4xC12244(C4xC12):5C4192,159
(C4xC12):6C4 = C3xC42:3C4φ: C4/C1 → C4 ⊆ Aut C4xC12484(C4xC12):6C4192,160
(C4xC12):7C4 = C42:7Dic3φ: C4/C2 → C2 ⊆ Aut C4xC12192(C4xC12):7C4192,496
(C4xC12):8C4 = C3xC42:4C4φ: C4/C2 → C2 ⊆ Aut C4xC12192(C4xC12):8C4192,809
(C4xC12):9C4 = C3xC42:5C4φ: C4/C2 → C2 ⊆ Aut C4xC12192(C4xC12):9C4192,816
(C4xC12):10C4 = C42:10Dic3φ: C4/C2 → C2 ⊆ Aut C4xC12192(C4xC12):10C4192,494
(C4xC12):11C4 = C42:11Dic3φ: C4/C2 → C2 ⊆ Aut C4xC12192(C4xC12):11C4192,495
(C4xC12):12C4 = C12.8C42φ: C4/C2 → C2 ⊆ Aut C4xC1248(C4xC12):12C4192,82
(C4xC12):13C4 = C4xC4:Dic3φ: C4/C2 → C2 ⊆ Aut C4xC12192(C4xC12):13C4192,493
(C4xC12):14C4 = Dic3xC42φ: C4/C2 → C2 ⊆ Aut C4xC12192(C4xC12):14C4192,489
(C4xC12):15C4 = C42:6Dic3φ: C4/C2 → C2 ⊆ Aut C4xC12192(C4xC12):15C4192,491
(C4xC12):16C4 = C3xC42:6C4φ: C4/C2 → C2 ⊆ Aut C4xC1248(C4xC12):16C4192,145
(C4xC12):17C4 = C12xC4:C4φ: C4/C2 → C2 ⊆ Aut C4xC12192(C4xC12):17C4192,811
(C4xC12):18C4 = C3xC42:8C4φ: C4/C2 → C2 ⊆ Aut C4xC12192(C4xC12):18C4192,815
(C4xC12):19C4 = C3xC42:9C4φ: C4/C2 → C2 ⊆ Aut C4xC12192(C4xC12):19C4192,817

Non-split extensions G=N.Q with N=C4xC12 and Q=C4
extensionφ:Q→Aut NdρLabelID
(C4xC12).1C4 = C12.15C42φ: C4/C1 → C4 ⊆ Aut C4xC12484(C4xC12).1C4192,25
(C4xC12).2C4 = C42.Dic3φ: C4/C1 → C4 ⊆ Aut C4xC12484(C4xC12).2C4192,101
(C4xC12).3C4 = C42.3Dic3φ: C4/C1 → C4 ⊆ Aut C4xC12484(C4xC12).3C4192,107
(C4xC12).4C4 = C3xC16:C4φ: C4/C1 → C4 ⊆ Aut C4xC12484(C4xC12).4C4192,153
(C4xC12).5C4 = C3xC42.C4φ: C4/C1 → C4 ⊆ Aut C4xC12484(C4xC12).5C4192,161
(C4xC12).6C4 = C3xC42.3C4φ: C4/C1 → C4 ⊆ Aut C4xC12484(C4xC12).6C4192,162
(C4xC12).7C4 = C3xC16:5C4φ: C4/C2 → C2 ⊆ Aut C4xC12192(C4xC12).7C4192,152
(C4xC12).8C4 = C6xC8:C4φ: C4/C2 → C2 ⊆ Aut C4xC12192(C4xC12).8C4192,836
(C4xC12).9C4 = C3xC42.12C4φ: C4/C2 → C2 ⊆ Aut C4xC1296(C4xC12).9C4192,864
(C4xC12).10C4 = C3xC42.6C4φ: C4/C2 → C2 ⊆ Aut C4xC1296(C4xC12).10C4192,865
(C4xC12).11C4 = C12:7M4(2)φ: C4/C2 → C2 ⊆ Aut C4xC1296(C4xC12).11C4192,483
(C4xC12).12C4 = C42.270D6φ: C4/C2 → C2 ⊆ Aut C4xC1296(C4xC12).12C4192,485
(C4xC12).13C4 = C12:C16φ: C4/C2 → C2 ⊆ Aut C4xC12192(C4xC12).13C4192,21
(C4xC12).14C4 = C24.1C8φ: C4/C2 → C2 ⊆ Aut C4xC12482(C4xC12).14C4192,22
(C4xC12).15C4 = C4xC4.Dic3φ: C4/C2 → C2 ⊆ Aut C4xC1296(C4xC12).15C4192,481
(C4xC12).16C4 = C2xC12:C8φ: C4/C2 → C2 ⊆ Aut C4xC12192(C4xC12).16C4192,482
(C4xC12).17C4 = C4xC3:C16φ: C4/C2 → C2 ⊆ Aut C4xC12192(C4xC12).17C4192,19
(C4xC12).18C4 = C24.C8φ: C4/C2 → C2 ⊆ Aut C4xC12192(C4xC12).18C4192,20
(C4xC12).19C4 = C2xC4xC3:C8φ: C4/C2 → C2 ⊆ Aut C4xC12192(C4xC12).19C4192,479
(C4xC12).20C4 = C2xC42.S3φ: C4/C2 → C2 ⊆ Aut C4xC12192(C4xC12).20C4192,480
(C4xC12).21C4 = C42.285D6φ: C4/C2 → C2 ⊆ Aut C4xC1296(C4xC12).21C4192,484
(C4xC12).22C4 = C3xC4:C16φ: C4/C2 → C2 ⊆ Aut C4xC12192(C4xC12).22C4192,169
(C4xC12).23C4 = C3xC8.C8φ: C4/C2 → C2 ⊆ Aut C4xC12482(C4xC12).23C4192,170
(C4xC12).24C4 = C12xM4(2)φ: C4/C2 → C2 ⊆ Aut C4xC1296(C4xC12).24C4192,837
(C4xC12).25C4 = C6xC4:C8φ: C4/C2 → C2 ⊆ Aut C4xC12192(C4xC12).25C4192,855
(C4xC12).26C4 = C3xC4:M4(2)φ: C4/C2 → C2 ⊆ Aut C4xC1296(C4xC12).26C4192,856

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